What is 6/7 (9/4+3/8) ?

The solution to 6/7 (9/4+3/8) is 2 1/4

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6/7 (9/4+3/8)

\frac{6}{7} (\frac{9}{4} + \frac{3}{8})

2 \frac{1}{4}

Solution steps

\frac{6}{7} (\frac{9}{4} + \frac{3}{8})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{9}{4} + \frac{3}{8}) : \frac{21}{8}

= \frac{6}{7} \cdot \frac{21}{8}

Multiply and divide (left to right)

\frac{6}{7} \cdot \frac{21}{8} : \frac{9}{4}

= \frac{9}{4}

Convert improper fractions to mixed numbers:

\frac{9}{4} = 2 \frac{1}{4}

= 2 \frac{1}{4}

8 + \frac{4}{9} \div 2

1 7^{2} + 4

- 3 (1) + 5

4 \times \frac{3}{6} + \frac{7}{10} \times 5

4 (- 5) + 6 \cdot 3